288808515072 has 1080 divisors, whose sum is σ = 1102006527336. Its totient is φ = 72595353600.

The previous prime is 288808515053. The next prime is 288808515089. The reversal of 288808515072 is 270515808882.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

288808515072 is a `hidden beast` number, since 2 + 8 + 8 + 80 + 8 + 51 + 507 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9316403697 + ... + 9316403727.

Almost surely, 2^288808515072 is an apocalyptic number.

288808515072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288808515072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551003263668).

288808515072 is an abundant number, since it is smaller than the sum of its proper divisors (813198012264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288808515072 is an equidigital number, since it uses as much as digits as its factorization.

288808515072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 288808515072 in words is "two hundred eighty-eight billion, eight hundred eight million, five hundred fifteen thousand, seventy-two".